Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IsQuasiAffine.of_isAffineHom
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.IsAffineHom f] [Y.IsQuasiAffine], X.IsQuasiAffine- Defined in
- Mathlib.AlgebraicGeometry.QuasiAffine
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Set.univproof · cited by 3,945
- TopCat.carrierproof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.exists_isAffine_of_isLimitproof · cited by 1
- AlgebraicGeometry.Scheme.isPullback_toSpecΓ_toSpecΓproof · cited by 1